Minimum spanning tree

This figure shows the cut property of MSTs. T is the only MST of the given graph. If S = A,B,D,E, thus V-S = C,F, then there are 3 possibilities of the edge across the cut(S,V-S), they are edges BC, EC, EF of the original graph. Then, e is one of the minimum-weight-edge for the cut, therefore S ∪ e is part of the MST T.

A minimum spanning tree is a spanning tree of a connected, undirected graph. It connects all the vertices together with the minimal total weighting for its edges.

A single graph can have many different spanning trees. We can also assign a weight to each edge, which is a number representing how unfavorable it is, and use this to assign a weight to a spanning tree by computing the sum of the weights of the edges in that spanning tree. A minimum spanning tree (MST) or minimum weight spanning tree is then a spanning tree with weight less than or equal to the weight of every other spanning tree. More generally, any undirected graph (not necessarily connected) has a minimum spanning forest, which is a union of minimum spanning trees for its connected components.

单词	Minimum spanning tree problem
释义	Minimum spanning tree problem 英语百科 Minimum spanning tree A minimum spanning tree is a spanning tree of a connected, undirected graph. It connects all the vertices together with the minimal total weighting for its edges. A single graph can have many different spanning trees. We can also assign a weight to each edge, which is a number representing how unfavorable it is, and use this to assign a weight to a spanning tree by computing the sum of the weights of the edges in that spanning tree. A minimum spanning tree (MST) or minimum weight spanning tree is then a spanning tree with weight less than or equal to the weight of every other spanning tree. More generally, any undirected graph (not necessarily connected) has a minimum spanning forest, which is a union of minimum spanning trees for its connected components.
随便看	mesoduodenal的意思 mesoduodenum的意思 mesodynamics的意思 mesoeconomic的意思 mesoeconomic的意思 mesoecosystem的意思 mesoectoblast的意思 mesoectoderm的意思 mesoectodermal defect的意思 mesoectodermal dysplasia syndrome的意思 mesoeephalon的意思 mesoendemic malaria的意思 mesoenteriolum的意思 mesoepididymis的意思 mesoepisternum的意思 mesoepiterrnum的意思 mesoereis koshunensis的意思 mesoereis obscurus的意思 mesoerythrit的意思 mesoerythritol的意思 mesoes的意思 mesoesophagus的意思 mesoeucrocodyle的意思 Mesoeucrocodylia的意思 mesoeucrocodylian的意思

Minimum spanning tree problem

Minimum spanning tree